collapse_test.py

import pytest
import hypothesis as hyp
import hypothesis.strategies as st

@st.composite
def st_intervals(draw, min_value=None, max_value=None):
    lo = draw(st.integers(min_value, max_value))
    hi = draw(st.integers(lo, max_value))
    return (lo, hi)

@st.composite
def st_split_interval(draw, interval, overlap=False):
    lo, hi = interval
    if lo == hi:
        raise ValueError('interval cannot be split')
    elif overlap and hi - lo < 3:
        raise ValueError('overlapping interval cannot be created')

    if overlap:
        mid1 = draw(st.integers(lo+2, hi-1))
        mid2 = draw(st.integers(lo+1, mid1-1))
    else:
        mid1 = draw(st.integers(lo, hi))
        mid2 = draw(st.integers(mid1, hi))
    return [(lo, mid1), (mid2, hi)]

@st.composite
def st_split_interval_recur(draw, interval, overlap=False):
    try:
        lo, hi = draw(st.one_of(
            st.just(interval),
            st_split_interval(interval, overlap)))
    except ValueError:
        return [interval]

    if not isinstance(lo, tuple):
        return [interval]

    lo = draw(st_split_interval_recur(lo, overlap))
    hi = draw(st_split_interval_recur(hi, overlap))
    return [*lo, *hi]


@st.composite
def st_collapsed_interval_test_pair(draw):
    """
    Generate a non-overlapping set of intervals and a derived overlapping set

    The overlapping intervals are not sorted. The overlapping
    intervals are derived from the non-overlapping intervals such that

    Returns
    -------
    result: tuple of (non-overlapping list, overlapping list)

    """
    from random import shuffle
    interval = draw(st_intervals())
    nonoverlap = draw(st_split_interval_recur(interval))
    nonoverlap = list(set(nonoverlap))

    overlap = []
    for ivl in nonoverlap:
        o = draw(st_split_interval_recur(ivl, overlap=True))
        overlap.extend(o)
    shuffle(overlap)
    return (nonoverlap, overlap)

def collapse(intervals):
    pass

@hyp.given(st_collapsed_interval_test_pair())
def test_collapse_pairs(pair):
    nonoverlap, overlap = pair
    assert set(collapse(overlap)) == set(nonoverlap)

test_cases.json

[
  {
    "nonoverlap": [],
    "overlap": []
  },
  {
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    "overlap": [ [0, 0] ]
  },
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    "overlap": [ [0, 1], [0, 1] ]
  },
  {
    "nonoverlap": [ [0, 1], [1, 1] ],
    "overlap": [ [1, 1], [0, 1] ]
  },
  {
    "nonoverlap": [ [0, 4] ],
    "overlap": [ [0, 2], [1, 4], [2, 3] ]
  },
  {
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    "overlap": [ [1, 3], [5, 8], [2, 5] ]
  },
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